Some Identities of Fully Degenerate Dowling Polynomials and Numbers
Recently, Kim-Kim introduced the degenerate Whitney numbers of the first and second kind involving the degenerate Dowling polynomials and numbers. In this paper, we introduce the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and derive some identities involving these...
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Language: | English |
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Wiley
2023-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2023/5460608 |
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author | Lingling Luo Yuankui Ma Wencong Liu Taekyun Kim |
author_facet | Lingling Luo Yuankui Ma Wencong Liu Taekyun Kim |
author_sort | Lingling Luo |
collection | DOAJ |
description | Recently, Kim-Kim introduced the degenerate Whitney numbers of the first and second kind involving the degenerate Dowling polynomials and numbers. In this paper, we introduce the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and derive some identities involving these polynomials. We also obtain the generating functions, expressions, and recurrence relations for the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and other special polynomials and numbers. |
format | Article |
id | doaj-art-ab9f1d3eb6dc4c6f8b2608b64dd1ae66 |
institution | Kabale University |
issn | 1607-887X |
language | English |
publishDate | 2023-01-01 |
publisher | Wiley |
record_format | Article |
series | Discrete Dynamics in Nature and Society |
spelling | doaj-art-ab9f1d3eb6dc4c6f8b2608b64dd1ae662025-02-03T01:29:51ZengWileyDiscrete Dynamics in Nature and Society1607-887X2023-01-01202310.1155/2023/5460608Some Identities of Fully Degenerate Dowling Polynomials and NumbersLingling Luo0Yuankui Ma1Wencong Liu2Taekyun Kim3School of ScienceSchool of ScienceSchool of ScienceSchool of ScienceRecently, Kim-Kim introduced the degenerate Whitney numbers of the first and second kind involving the degenerate Dowling polynomials and numbers. In this paper, we introduce the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and derive some identities involving these polynomials. We also obtain the generating functions, expressions, and recurrence relations for the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and other special polynomials and numbers.http://dx.doi.org/10.1155/2023/5460608 |
spellingShingle | Lingling Luo Yuankui Ma Wencong Liu Taekyun Kim Some Identities of Fully Degenerate Dowling Polynomials and Numbers Discrete Dynamics in Nature and Society |
title | Some Identities of Fully Degenerate Dowling Polynomials and Numbers |
title_full | Some Identities of Fully Degenerate Dowling Polynomials and Numbers |
title_fullStr | Some Identities of Fully Degenerate Dowling Polynomials and Numbers |
title_full_unstemmed | Some Identities of Fully Degenerate Dowling Polynomials and Numbers |
title_short | Some Identities of Fully Degenerate Dowling Polynomials and Numbers |
title_sort | some identities of fully degenerate dowling polynomials and numbers |
url | http://dx.doi.org/10.1155/2023/5460608 |
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